GeoGebraScript versión 001
- Author:
- Juan Carlos Ponce Campuzano
- Topic:
- Geometry
#Points hexagon
n=6
Execute(Sequence("A"+i+"=Rotate( (cos(pi/3*"+i+"), sin(pi/3*"+i+")), -pi/6, (0,0) )", i, 1, n))
#Hexagon
Poly01=Polygon(A1, A2, A3, A4, A5, A6)
#Origin
O=(0,0)
#Segment from center
S2=Segment(O, A2)
S4=Segment(O, A4)
S6=Segment(O, A6)
#Circles corners
r=Slider(0.1, 1, 0.1, 1, 140, false, true, false, false)
C1=Circle(A1, r)
C3=Circle(A3, r)
#Circle center
C0=Circle(O, r)
#Intersections
I1=Intersect( C1, a1 )
J1=Intersect( C3, a2 )
L1=Intersect( C0, S2 )
#Object
T1=Polygon( A1, I1, L1, J1, A3, O )
T2=Rotate(T1, 2*pi/3, O)
T3=Rotate(T1, -2*pi/3, O)
#Vectors
auxray=Ray(O, A1)
auxPoint=Intersect(C1, auxray, 2)
u1=Vector(O, auxPoint )
u2=Rotate(u1, pi/3)
u3=u1+u2
u4=u1+2*u2
u5=2*u1+u2
#First
Execute(Sequence("FA"+i+"=Translate( T1, Rotate( u1, pi/3*"+i+", O ))", i, 1, 6))
Execute(Sequence("FB"+i+"=Translate( T2, Rotate( u1, pi/3*"+i+", O ))", i, 1, 6))
Execute(Sequence("FC"+i+"=Translate( T3, Rotate( u1, pi/3*"+i+", O ))", i, 1, 6))
#Second
Execute(Sequence("SA"+i+"=Translate( T1, Rotate( 2*u1, pi/3*"+i+", O ))", i, 1, 6))
Execute(Sequence("SB"+i+"=Translate( T2, Rotate( 2*u1, pi/3*"+i+", O ))", i, 1, 6))
Execute(Sequence("SC"+i+"=Translate( T3, Rotate( 2*u1, pi/3*"+i+", O ))", i, 1, 6))
#Third
Execute(Sequence("TA"+i+"=Translate( T1, Rotate( 3*u1, pi/3*"+i+", O ))", i, 1, 6))
Execute(Sequence("TB"+i+"=Translate( T2, Rotate( 3*u1, pi/3*"+i+", O ))", i, 1, 6))
Execute(Sequence("TC"+i+"=Translate( T3, Rotate( 3*u1, pi/3*"+i+", O ))", i, 1, 6))
#Quad01
Execute(Sequence("q01a"+i+"=Translate(T1, u"+(i)+")", i, 3, 5))
Execute(Sequence("q01b"+i+"=Translate(T2, u"+(i)+")", i, 3, 5))
Execute(Sequence("q01c"+i+"=Translate(T3, u"+(i)+")", i, 3, 5))
#Quad02
Execute(Sequence("q02a"+i+"=Translate(T1, Rotate(u"+i+", pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q02b"+i+"=Translate(T2, Rotate(u"+i+", pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q02c"+i+"=Translate(T3, Rotate(u"+i+", pi/3, (0,0)))", i, 3, 5))
#Quad03
Execute(Sequence("q03a"+i+"=Translate(T1, Rotate(u"+i+", 2*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q03b"+i+"=Translate(T2, Rotate(u"+i+", 2*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q03c"+i+"=Translate(T3, Rotate(u"+i+", 2*pi/3, (0,0)))", i, 3, 5))
#Quad04
Execute(Sequence("q04a"+i+"=Translate(T1, Rotate(u"+i+", 3*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q04b"+i+"=Translate(T2, Rotate(u"+i+", 3*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q04c"+i+"=Translate(T3, Rotate(u"+i+", 3*pi/3, (0,0)))", i, 3, 5))
#Quad05
Execute(Sequence("q05a"+i+"=Translate(T1, Rotate(u"+i+", 4*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q05b"+i+"=Translate(T2, Rotate(u"+i+", 4*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q05c"+i+"=Translate(T3, Rotate(u"+i+", 4*pi/3, (0,0)))", i, 3, 5))
#Quad06
Execute(Sequence("q06a"+i+"=Translate(T1, Rotate(u"+i+", 5*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q06b"+i+"=Translate(T2, Rotate(u"+i+", 5*pi/3, (0,0)))", i, 3, 5))
Execute(Sequence("q06c"+i+"=Translate(T3, Rotate(u"+i+", 5*pi/3, (0,0)))", i, 3, 5))